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Finding the Fourth Proportional to 212,207.74, 318,332.42 and 77,308.48

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Solution

The fourth proportional to 212,207.74, 318,332.42 and 77,308.48 is: 115,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,207.74 : 318,332.42 = 77,308.48 : x
  2. Step 2: Convert to fraction form
    212,207.74/318,332.42 = 77,308.48/x
  3. Step 3: Cross multiply
    212,207.74x = 318,332.42 × 77,308.48
  4. Step 4: Simplify right side
    212,207.74x = 24,609,795,524.92
  5. Step 5: Solve for x
    x = 24,609,795,524.92/212,207.74
  6. Step 6: Final answer
    x = 115,970.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.